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1. You have a 4 quart bottle of 70% pure apple juice. You want to mix it with 90% pure apple juice
to obtain 85% pure apple juice. How much of the 90% pure apple juice should you use?

Respuesta :

Answer:

12 quarts of the 90% pure apple juice should be used

Step-by-step explanation:

Here, we want to calculate the number of quarts of the 90% pure apple juice to be used.

Let the number of quarts of the 90% pure apple juice to be used be x;

This brings the total of the 85% result to (4 + x)

By mathematical convention;

4 quarts of 70% + x quarts of 90% = (4 + x) of 85%

70% = 70/100 = 0.7

90% = 90/100 = 0.9

85% = 85/100 = 0.85

Thus, mathematically;

(0.7 * 4) + (0.9 * x) = 0.85(4 + x)

2.8 + 0.9x = 3.4 + 0.85x

Let’s collect like terms

3.4 -2.8 = 0.9x -0.85x

0.6 = 0.05x

x = 0.6/0.05

x = 12